RVUNL EE Signals & Systems Quiz 4

Consider a signal,  The value of

[Where X(ω) is the Fourier Transform of x(t)]

Let the fourier transform of a signal x(t) be X(jω).

Then the value of X(0) is ______.

Evaluate the Fourier transform of

A signal x(t) is defined as x(t) = 50 cos 314t. Find the magnitude of the second harmonic present in the Fourier series expansion of the signal x(t).

The Fourier series expansion of a real periodic signal with fundamental frequency f₀ is given by f(t) = if it is given that c₃ = 2 + j5 then c_-3 is

Let x(t) be a periodic signal with Fourier series coefficient a_k and let y(t) be another periodic signal having Fourier series coefficient b_k such that y(t) = x(t - t_o) + x(t + t_o). If x(t) is a real and even signal. Check for the nature of the signal y(t)?